Information on Result #670736
Linear OA(12843, 429, F128, 23) (dual of [429, 386, 24]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1287, 129, F128, 7) (dual of [129, 122, 8]-code or 129-arc in PG(6,128)), using
- extended Reed–Solomon code RSe(122,128) [i]
- the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(12812, 150, F128, 11) (dual of [150, 138, 12]-code), using
- extended algebraic-geometric code AGe(F,138P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(12824, 150, F128, 23) (dual of [150, 126, 24]-code), using
- extended algebraic-geometric code AGe(F,126P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12843, 214, F128, 2, 23) (dual of [(214, 2), 385, 24]-NRT-code) | [i] | OOA Folding | |